72953664 has 224 divisors, whose sum is σ = 243449856. Its totient is φ = 18800640.

The previous prime is 72953663. The next prime is 72953693. The reversal of 72953664 is 46635927.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72953663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708237 + ... + 708339.

Almost surely, 2^72953664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121724928).

72953664 is an abundant number, since it is smaller than the sum of its proper divisors (170496192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72953664 is a wasteful number, since it uses less digits than its factorization.

72953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 72953664 is about 8541.2917055911. The cubic root of 72953664 is about 417.8454745017.

The spelling of 72953664 in words is "seventy-two million, nine hundred fifty-three thousand, six hundred sixty-four".